---
OA_place: publisher
_id: '10293'
abstract:
- lang: eng
  text: "Indirect reciprocity in evolutionary game theory is a prominent mechanism
    for explaining the evolution of cooperation among unrelated individuals. In contrast
    to direct reciprocity, which is based on individuals meeting repeatedly, and conditionally
    cooperating by using their own experiences, indirect reciprocity is based on individuals’
    reputations. If a player helps another, this increases the helper’s public standing,
    benefitting them in the future. This lets cooperation in the population emerge
    without individuals having to meet more than once. While the two modes of reciprocity
    are intertwined, they are difficult to compare. Thus, they are usually studied
    in isolation. Direct reciprocity can maintain cooperation with simple strategies,
    and is robust against noise even when players do not remember more\r\nthan their
    partner’s last action. Meanwhile, indirect reciprocity requires its successful
    strategies, or social norms, to be more complex. Exhaustive search previously
    identified eight such norms, called the “leading eight”, which excel at maintaining
    cooperation. However, as the first result of this thesis, we show that the leading
    eight break down once we remove the fundamental assumption that information is
    synchronized and public, such that everyone agrees on reputations. Once we consider
    a more realistic scenario of imperfect information, where reputations are private,
    and individuals occasionally misinterpret or miss observations, the leading eight
    do not promote cooperation anymore. Instead, minor initial disagreements can proliferate,
    fragmenting populations into subgroups. In a next step, we consider ways to mitigate
    this issue. We first explore whether introducing “generosity” can stabilize cooperation
    when players use the leading eight strategies in noisy environments. This approach
    of modifying strategies to include probabilistic elements for coping with errors
    is known to work well in direct reciprocity. However, as we show here, it fails
    for the more complex norms of indirect reciprocity. Imperfect information still
    prevents cooperation from evolving. On the other hand, we succeeded to show in
    this thesis that modifying the leading eight to use “quantitative assessment”,
    i.e. tracking reputation scores on a scale beyond good and bad, and making overall
    judgments of others based on a threshold, is highly successful, even when noise
    increases in the environment. Cooperation can flourish when reputations\r\nare
    more nuanced, and players have a broader understanding what it means to be “good.”
    Finally, we present a single theoretical framework that unites the two modes of
    reciprocity despite their differences. Within this framework, we identify a novel
    simple and successful strategy for indirect reciprocity, which can cope with noisy
    environments and has an analogue in direct reciprocity. We can also analyze decision
    making when different sources of information are available. Our results help highlight
    that for sustaining cooperation, already the most simple rules of reciprocity
    can be sufficient."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Laura
  full_name: Schmid, Laura
  id: 38B437DE-F248-11E8-B48F-1D18A9856A87
  last_name: Schmid
  orcid: 0000-0002-6978-7329
citation:
  ama: Schmid L. Evolution of cooperation via (in)direct reciprocity under imperfect
    information. 2021. doi:<a href="https://doi.org/10.15479/at:ista:10293">10.15479/at:ista:10293</a>
  apa: Schmid, L. (2021). <i>Evolution of cooperation via (in)direct reciprocity under
    imperfect information</i>. Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/at:ista:10293">https://doi.org/10.15479/at:ista:10293</a>
  chicago: Schmid, Laura. “Evolution of Cooperation via (in)Direct Reciprocity under
    Imperfect Information.” Institute of Science and Technology Austria, 2021. <a
    href="https://doi.org/10.15479/at:ista:10293">https://doi.org/10.15479/at:ista:10293</a>.
  ieee: L. Schmid, “Evolution of cooperation via (in)direct reciprocity under imperfect
    information,” Institute of Science and Technology Austria, 2021.
  ista: Schmid L. 2021. Evolution of cooperation via (in)direct reciprocity under
    imperfect information. Institute of Science and Technology Austria.
  mla: Schmid, Laura. <i>Evolution of Cooperation via (in)Direct Reciprocity under
    Imperfect Information</i>. Institute of Science and Technology Austria, 2021,
    doi:<a href="https://doi.org/10.15479/at:ista:10293">10.15479/at:ista:10293</a>.
  short: L. Schmid, Evolution of Cooperation via (in)Direct Reciprocity under Imperfect
    Information, Institute of Science and Technology Austria, 2021.
corr_author: '1'
date_created: 2021-11-15T17:12:57Z
date_published: 2021-11-17T00:00:00Z
date_updated: 2026-04-08T07:11:20Z
day: '17'
ddc:
- '519'
- '576'
degree_awarded: PhD
department:
- _id: GradSch
- _id: KrCh
doi: 10.15479/at:ista:10293
ec_funded: 1
file:
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has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '171'
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '9997'
    relation: part_of_dissertation
    status: public
  - id: '9402'
    relation: part_of_dissertation
    status: public
  - id: '2'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
title: Evolution of cooperation via (in)direct reciprocity under imperfect information
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2021'
...
